Multicriteria Optimization [Matthias Ehrgott] on *FREE* shipping on qualifying offers. – Collection of results of multicriteria optimization, including. Matthias Ehrgott. Lancaster University. Abstract. Using some real-world examples I illustrate the important role of multiobjective optimization in decision making. Request PDF on ResearchGate | On Jan 1, , M. Ehrgott and others published Multicriteria Optimization.
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As opposed to single-objective optimization, in multiobjective optimization there is no single best solution.
It is thus common to directly or indirectly search for a set of Pareto efficient solutions Pareto front and apply set-oriented search procedures for this. Besides, there is an alternative approach, which is the construction of ranking and scoring methods that aggregate objectives, which typically yields a particular mmulticriteria solution on the Pareto front.
Multicriteria Optimization and Decision Analysis
Moreover, ehrgotr multicriteria decision analysis, the assessment of multivariate data and trade-offs is discussed, and tools that can supporting human decision makers in complex environments. In the first part we will discuss foundations of the field, including mathematical treatment of partial orders, ehegott, and domination, as well as optimality definitions that rests on these.
We will also discuss the geometry of Pareto optimal sets and how ranking methods can be designed in order to express the preferences of a user.
The second part of the course focuses on algorithmic aspects. We will review fundamental algorithms for optimizxtion subset selection, as well as deterministic and stochastic methods for approximating or finding the Pareto front. A particular focus will be on hypervolume-oriented methods which recast the problem of finding all Pareto efficient solutions as a problem of finding sets as a single objective optimization problem on the space of sets.
Accuracy, Efficiency, Reliability, and User-friendliness are guiding criteria in the design of multiobjective optimization algorithms.
The theory of these algorithms is still under development and we will discuss very recent breakthrough results and major open problems in this field. Michael Emmerich will teach the part on multiobjective optimization, and the part on multicriteria decision analysis will be teached by Dr.
The most recent timetable can be found at the students’ website. Two graded assignments A1 and A2 not mandatory, but recommended. You have to sign up for classes and examinations including resits in uSis.
Check this link for more information and activity codes.
Multicriteria Optimization: Matthias Ehrgott: : Books
Semester 1 Hours of study: Search Keywords Search Extended search. Computer Science and Advanced Data Analytics. Computer Science with the specialization Data Science.